Question

How high should a bucket of mass 10 kg be raised so that it acquires a potential energy of 50 J? (Take g=10ms)

Answer 1

Answer :-

• The height of the bucket should be 0.6 m.

To find :-

• How high should a bucket of mass 10 kg be raised so that it acquires a potential energy of 50 J?

Step-by-step explanation :-

Here, it is given that :-

• Mass of the bucket = 10 kg.

• Potential energy of the bucket = 50J.

• g = 10m/s².

Let :-

• The height be "h" m.

We know that :-

• Potential Energy = Mass × Height × Acceleration Due To Gravity.

Substituting the given values in this formula,

 

$\sf{ \longrightarrow 10 \times h \times 10 = 60}$

$\sf{ \longrightarrow 100 \times h = 60}$

$\sf{ \longrightarrow h = \cancel{ \dfrac{60}{100}}}$

$\sf{ \longrightarrow h = 0.6\:m}$

Hence :-

• The height of the bucket is 0.6 m.

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Used Formula :-

• Potential energy = mgh.

Where,

• m = Mass.

• g = Acceleration due to gravity.

• h = Height.

Answer 2

Answer:

Given :

• Mass of the bucket = 10 kg.
• Potential energy of the bucket = 50J

g = 10m/s²

Required Answer :

Let , height be "h" m.

already We know that ,

Potential energy= Mass × Height × Acceleration Due To Gravity

Now , Substituting given values in the formula

→ 10 × h × 10 = 60

→ 100 × h = 60

→ h = 60/100 (cancel)

→ h = 0.6m

Hence , The required answer is 0.6m